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Finding the Fourth Proportional to 2,621.64, 3,933.08 and 978.24

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Solution

The fourth proportional to 2,621.64, 3,933.08 and 978.24 is: 1,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.64 : 3,933.08 = 978.24 : x
  2. Step 2: Convert to fraction form
    2,621.64/3,933.08 = 978.24/x
  3. Step 3: Cross multiply
    2,621.64x = 3,933.08 × 978.24
  4. Step 4: Simplify right side
    2,621.64x = 3,847,496.18
  5. Step 5: Solve for x
    x = 3,847,496.18/2,621.64
  6. Step 6: Final answer
    x = 1,467.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.